LCM of 135, 505, 878, 189, 399
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 135, 505, 878, 189, 399 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 135, 505, 878, 189, 399. So, keep reading to learn more.
Given numbers are 135,505,878,189,399
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 135,505,878,189,399 is 1592213490.
Find LCM of 135,505,878,189,399 with Prime Factorization
| 3 | 135, 505, 878, 189, 399 |
| 3 | 45, 505, 878, 63, 133 |
| 3 | 15, 505, 878, 21, 133 |
| 5 | 5, 505, 878, 7, 133 |
| 7 | 1, 101, 878, 7, 133 |
| 1, 101, 878, 1, 19 |
Multiply the prime numbers at the bottom and the left side.
3 x 3 x 3 x 5 x 7 x 1 x 101 x 878 x 1 x 19 = 1592213490
Therefore, the lowest common multiple of 135,505,878,189,399 is 1592213490.
LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}
Firstly, we have to find the product of all the numbers.
135 x 505 x 878 x 189 x 399 = 4513925244150
Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.
135 : 1, 3, 5, 9, 15, 27, 45, 135
505 : 1, 5, 101, 505
878 : 1, 2, 439, 878
189 : 1, 3, 7, 9, 21, 27, 63, 189
399 : 1, 3, 7, 19, 21, 57, 133, 399
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 135,505,878,189,399, is 1.
Now, the common factors can be found like this.
135:3x 3x 3x 5
505:5x 101
878:2x 439
189:3x 3x 3x 7
399:3x 7x 19
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 3x 3x 5x 7 = 2835
Therefore, the value for common factors is 2835.
Now that we have all the elements of the formula, we can plug them in to calculate the LCM.
LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}
LCM = 4513925244150/(1x2835)
LCM = 4513925244150/2835
LCM = 1592213490
Thus, we can understand that the LCM of 135,505,878,189,399 is 1592213490.
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FAQs on LCM of 135, 505, 878, 189, 399
1. What is the LCM of 135, 505, 878, 189, 399?
Answer: LCM of 135, 505, 878, 189, 399 is 1592213490.
2. How to calculate the LCM of 135, 505, 878, 189, 399?
The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 135, 505, 878, 189, 399.
3. What is the LCM formula?
The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.